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Finding the Fourth Proportional to 1,996.64, 2,993.95 and 1,163.97

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Solution

The fourth proportional to 1,996.64, 2,993.95 and 1,163.97 is: 1,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.64 : 2,993.95 = 1,163.97 : x
  2. Step 2: Convert to fraction form
    1,996.64/2,993.95 = 1,163.97/x
  3. Step 3: Cross multiply
    1,996.64x = 2,993.95 × 1,163.97
  4. Step 4: Simplify right side
    1,996.64x = 3,484,867.98
  5. Step 5: Solve for x
    x = 3,484,867.98/1,996.64
  6. Step 6: Final answer
    x = 1,745.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.